CAIE P1 2010 June — Question 2

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2010
SessionJune
TopicBinomial Theorem (positive integer n)
TypeProduct with reciprocal term binomial

2
  1. Find the first three terms, in descending powers of \(x\), in the expansion of \(\left( x - \frac { 2 } { x } \right) ^ { 6 }\).
  2. Find the coefficient of \(x ^ { 4 }\) in the expansion of \(\left( 1 + x ^ { 2 } \right) \left( x - \frac { 2 } { x } \right) ^ { 6 }\).